All categories

3 years ago

The diagram shows two parallel lines and transversal. If the measure of <6 is 140, what is the measure of <1?

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

Angles 6 and 3 are supplementary. If angle 6 is 140, then angle 3 is 40. Because those lines are parallel and cut by a transversal, then angles 3 and 1 are corresponding and congruent. That means that angle 1 measures 40° also. Choice D.

VladimirAG [237]3 years ago

3 0

Answer:

(D)

Step-by-step explanation:

Given: It is given that ∠6 measures 140°.

To find: The measure of ∠1.

Solution:

It is given that ∠6 measures 140° and since there are two parallel lines which are cut by a transversal, then using the properties of parallel lines, we have

m∠6=m∠2(Alternate interior angles)

Therefore, m∠6=m∠2=140°

Also, m∠2 and m∠1 forms the linear pair, therefore

m∠1+m∠2=180°(Linear pair)

⇒m∠1+140°=180°

⇒m∠1=180-140

⇒m∠1=40°

Thus, the measure of ∠1 is 40°.

Hence, option D is correct.

You might be interested in

Domain and range of the function f(x)= 7x^5 PLEASE HELP I LITERALLY CANT DO IT

sineoko [7]

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

The domain is all x values, and the range is all y values.

Domain:

The domain is all real numbers except where the slope is undefined (a vertical line). In this case, no number makes the expression undefined, so the domain is:

all real numbers

Interval notation: (-∞,∞)

all negative numbers and positive numbers (all real numbers)

Set-Builder Notation: {x | x ∈ R }

Range:

The range is the set of all valid values. Graph the line and check. Since all values of y are valid, the range is:

all real numbers

Interval notation: (-∞,∞)

all negative numbers and positive numbers (all real numbers)

Set-Builder Notation: {x | x ∈ R }

:Done

3 0

2 years ago

Does nayone know the answer 12z – 5z + 9z2

vichka [17]

The answer is 25z if you need to know how i can show you

5 0

3 years ago

How many continents are there

9966 [12]

Answer:

(7) seven continents

By most standards, there is a maximum of seven continents - Africa, Antarctica, Asia, Australia/Oceania, Europe, North America, and South America

7 0

3 years ago

Read 2 more answers

you have $18 to buy peppers. peppers cost $1.50 each. write and solve an inequality that represents the number of peppers you ca

Nezavi [6.7K]

At most 12 peppers can be bought with $18

Step-by-step explanation:

Given

Total amount for peppers = $18

Cost per pepper = $1.50

Let p be the number of peppers that can be bought from $18 at $1.50 per pepper

So,

$1.50p\leq 18$

Dividing both sides by 1.50

$\frac{1.50p}{1.50}\leq \frac{18}{1.50}\\p\leq 12$

Hence,

At most 12 peppers can be bought with $18

Keywords: Inequality, solution

Learn more about inequalities at:

#LearnwithBrainly

5 0

3 years ago

What is the area??????

Westkost [7]

Your answer would be 91.1 units².
We can split this shape into a trapezium and a semicircle, and then find the area of both and add them.
To find the area of a trapezium, the formula is
(a + b)/2 × h, which means we do 14 (the length of AD) + 8 (the length of BC) = 22, and 22/2 = 11. Then we multiply 11 by the height of the trapezium, which is 6 because 10 - 4 = 6. This gives us the area of the trapezium as 66 units².
To find the area of a semicircle, the formula is πr²/2, and the radius is 4 because the diameter is 8 (16 - 8 = 8). This means we do π4²/2 = 16π\2 = 8π = 25.13.
Then we need to add together 66 and 25.13, which equals 91.13, or 91.1 to the nearest tenth.
I hope this helps!

7 0

3 years ago

Read 2 more answers